Mass of Car = 8255 kg
Average weight of each Person = 150 lbs = 68.18 kg
68.18 (20 people per car) + 8255 = 9618.6 kg
Height= 5 meters
U= mgh
U= (9618.6)(9.8)(5)
U= 471311 J
KE= 1/2mv²
KE=(1/2)(9618.6)(6.176)²
KE=183441 J
v= slope of position graph
v= 6.176 m/s
a= slope of velocity graph
a= 8.787 m/s/s
W= Fd=(ma)(d)
W=(9618.6)(8.787)(5)
W=422593 J
P= mv
P= (9618.6)(6.176) P= 59404.5 (kg x m)/s
Great Bear: mass of car=9071.85
m=68.18(20)+9071.85=10435.5
height=3 meters
v=9.463
a=10.91
U=mgh
U=(10435.5)(9.8)(3)
U=306804 J
KE=1/2mv^2
KE=1/2(10435.5)(9.463)^2
KE=467241 J
W=(ma)(d)
W=(10435.5)(10.91)(5)
W=569257 J
P=mv
P=(10435.5)(9.463)
P=98751.1 (kg x m)/s
Assumptions: I assumed that the stormrunner was about the same mass as the sidewinder. I also estimated there to be about 20 people in each ride. Finally, I estimated the height and distance for each ride.
Storm Runner:
Mass of Car = 8255 kg
Average weight of each Person = 150 lbs = 68.18 kg
68.18 (20 people per car) + 8255 = 9618.6 kg
Height= 5 meters
U= mgh
U= (9618.6)(9.8)(5)
U= 471311 J
KE= 1/2mv²
KE=(1/2)(9618.6)(6.176)²
KE=183441 J
v= slope of position graph
v= 6.176 m/s
a= slope of velocity graph
a= 8.787 m/s/s
W= Fd=(ma)(d)
W=(9618.6)(8.787)(5)
W=422593 J
P= mv
P= (9618.6)(6.176)
P= 59404.5 (kg x m)/s
Great Bear:
mass of car=9071.85
m=68.18(20)+9071.85=10435.5
height=3 meters
v=9.463
a=10.91
U=mgh
U=(10435.5)(9.8)(3)
U=306804 J
KE=1/2mv^2
KE=1/2(10435.5)(9.463)^2
KE=467241 J
W=(ma)(d)
W=(10435.5)(10.91)(5)
W=569257 J
P=mv
P=(10435.5)(9.463)
P=98751.1 (kg x m)/s
Assumptions: I assumed that the stormrunner was about the same mass as the sidewinder. I also estimated there to be about 20 people in each ride. Finally, I estimated the height and distance for each ride.
All of my results seem to be reasonable.